Details

analyze78.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms	198×	body	128	valid
3.0ms	23×	body	1024	valid
2.0ms	22×	body	512	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify273.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	4852	16
1	4852	16

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

24.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

9.3b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
2.2b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
0.0b	(*.f64 (-.f64 1 x) y)
0.0b	(*.f64 (-.f64 1 x) y)
2.2b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
9.3b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_18492`
17×	`add-sqr-sqrt_binary64_18514`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528` `cancel-sign-sub-inv_binary64_18458`
9×	`add-cube-cbrt_binary64_18527`
8×	`times-frac_binary64_18498`
6×	`associate-l_binary64_18433`
5×	`pow1_binary64_18553` `add-log-exp_binary64_18531`
4×	`associate-/r/_binary64_18438` `difference-of-squares_binary64_18461` `associate-/r_binary64_18436` `associate-l/_binary64_18435`
3×	`distribute-lft-out_binary64_18443` `flip--_binary64_18467` `flip3--_binary64_18496` `associate-r_binary64_18432`
2×	`associate-/l/_binary64_18439` `div-exp_binary64_18543` `flip-+_binary64_18466` `distribute-lft-out--_binary64_18444` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489` `flip3-+_binary64_18495`
1×	`diff-log_binary64_18584` `unswap-sqr_binary64_18460` `frac-2neg_binary64_18503` `sub-neg_binary64_18485` `associate-/l_binary64_18437` `-commutative_binary64_18423` `clear-num_binary64_18491` `pow-prod-down_binary64_18563`

Counts

3 → 74

Calls

6 calls:

10.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
9.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.0ms	(*.f64 (-.f64 1 x) y)
0.0ms	(*.f64 (-.f64 1 x) y)
0.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))

series304.0ms (2.9%)

Counts

3 → 45

Calls

3 calls:

125.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
120.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))
58.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 819 to 672 computations (17.9% saved)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5272	1940

prune171.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	4	120

Error

0.0b

Counts

120 → 4

Compiler

Compiled 1932 to 1305 computations (32.5% saved)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

19.2b	(/.f64 (.f64 (-.f64 1 x) y) (-.f64 (.f64 y y) 1))
4.3b	(-.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1)))
0.1b	(.f64 (/.f64 (.f64 (-.f64 1 x) y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1))
0.0b	(*.f64 (-.f64 1 x) y)
0.0b	(*.f64 (-.f64 1 x) y)
0.1b	(.f64 (/.f64 (.f64 (-.f64 1 x) y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1))
4.3b	(-.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1)))
19.2b	(/.f64 (.f64 (-.f64 1 x) y) (-.f64 (.f64 y y) 1))

rewrite53.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_18514`
24×	`*-un-lft-identity_binary64_18492`
20×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
18×	`associate-l_binary64_18433`
15×	`add-cube-cbrt_binary64_18527`
13×	`cancel-sign-sub-inv_binary64_18458`
12×	`times-frac_binary64_18498`
10×	`associate-r_binary64_18432` `difference-of-squares_binary64_18461`
8×	`pow1_binary64_18553` `distribute-rgt-in_binary64_18442` `associate--r+_binary64_18428` `distribute-lft-in_binary64_18441`
7×	`flip--_binary64_18467` `flip3--_binary64_18496`
6×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `add-log-exp_binary64_18531` `associate-/r*_binary64_18436`
5×	`sub-neg_binary64_18485` `associate-*l/_binary64_18435`
4×	`div-exp_binary64_18543` `difference-of-sqr-1_binary64_18462` `associate-/r/_binary64_18438` `cbrt-undiv_binary64_18526`
2×	`associate-/l/_binary64_18439` `associate-r/_binary64_18434` `unswap-sqr_binary64_18460` `distribute-lft-out--_binary64_18444` `-commutative_binary64_18423` `frac-times_binary64_18502` `div-inv_binary64_18489` `pow-prod-down_binary64_18563`
1×	`diff-log_binary64_18584` `frac-2neg_binary64_18503` `associate-/l*_binary64_18437` `clear-num_binary64_18491`

Counts

4 → 122

Calls

8 calls:

18.0ms	(.f64 (/.f64 (.f64 (-.f64 1 x) y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1))
11.0ms	(/.f64 (.f64 (-.f64 1 x) y) (-.f64 (.f64 y y) 1))
7.0ms	(*.f64 (-.f64 1 x) y)
5.0ms	(-.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1)))
0.0ms	(*.f64 (-.f64 1 x) y)

series832.0ms (8%)

Counts

4 → 63

Calls

4 calls:

377.0ms	(-.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1)))
203.0ms	(.f64 (/.f64 (.f64 (-.f64 1 x) y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1))
191.0ms	(/.f64 (.f64 (-.f64 1 x) y) (-.f64 (.f64 y y) 1))
61.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 1814 to 1464 computations (19.3% saved)

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4979	3507
1	4979	3507

prune207.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	185	4	189

Error

0.0b

Counts

189 → 4

Compiler

Compiled 3939 to 2665 computations (32.3% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) y)
0.0b	(/.f64 (-.f64 1 x) y)

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
18×	`times-frac_binary64_18498`
12×	`add-cube-cbrt_binary64_18527`
8×	`difference-of-squares_binary64_18461`
6×	`associate-/l*_binary64_18437`
4×	`distribute-lft-out--_binary64_18444`
3×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528` `associate-/r*_binary64_18436`
2×	`associate-/l/_binary64_18439`
1×	`div-exp_binary64_18543` `pow1_binary64_18553` `flip--_binary64_18467` `frac-2neg_binary64_18503` `flip3--_binary64_18496` `add-log-exp_binary64_18531` `clear-num_binary64_18491` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489` `div-sub_binary64_18497`

Counts

1 → 42

Calls

2 calls:

6.0ms	(/.f64 (-.f64 1 x) y)
0.0ms	(/.f64 (-.f64 1 x) y)

series66.0ms (0.6%)

Counts

1 → 9

Calls

1 calls:

66.0ms

(/.f64 (-.f64 1 x) y)

Compiler

Compiled 119 to 99 computations (16.8% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4865	641
1	4865	641

prune41.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	51	4	55

Error

0.0b

Counts

55 → 4

Compiler

Compiled 691 to 418 computations (39.5% saved)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
0.0b	(*.f64 (-.f64 1 x) y)
0.0b	(*.f64 (-.f64 1 x) y)
0.0b	(+.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))
9.3b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
9.3b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
9.3b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
15.4b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) 3)) (+.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) (+.f64 1 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y))))))

rewrite76.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-sqr-sqrt_binary64_18514`
63×	`*-un-lft-identity_binary64_18492`
48×	`times-frac_binary64_18498`
32×	`difference-of-squares_binary64_18461`
27×	`add-cube-cbrt_binary64_18527`
21×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
15×	`associate-/l_binary64_18437` `associate-/r_binary64_18436`
8×	`associate-/l/_binary64_18439` `unpow-prod-down_binary64_18571` `sqr-pow_binary64_18464` `associate-/r/_binary64_18438` `cube-prod_binary64_18520`
7×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
6×	`distribute-lft-out_binary64_18443` `associate-*l/_binary64_18435`
4×	`pow1_binary64_18553` `flip-+_binary64_18466` `flip--_binary64_18467` `distribute-lft-out--_binary64_18444` `frac-2neg_binary64_18503` `flip3--_binary64_18496` `add-log-exp_binary64_18531` `clear-num_binary64_18491` `div-inv_binary64_18489` `flip3-+_binary64_18495`
3×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
1×	`div-sub_binary64_18497`

Counts

4 → 149

Calls

8 calls:

21.0ms	(/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) 3)) (+.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) (+.f64 1 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y))))))
13.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
10.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
9.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
0.0ms	(+.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) (+.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))

series3.4s (32.8%)

Counts

4 → 72

Calls

4 calls:

3.0s	(/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) 3)) (+.f64 1 (.f64 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y)) (+.f64 1 (/.f64 (.f64 (-.f64 1 x) y) (+.f64 1 y))))))
135.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
129.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))
127.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))

Compiler

Compiled 8220 to 6565 computations (20.1% saved)

simplify156.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4956	14786
1	4956	14786

prune1.1s (10.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	221	4	225

Error

0.0b

Counts

225 → 4

Compiler

Compiled 14501 to 10411 computations (28.2% saved)

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	1403	935
1	1403	935

regimes369.0ms (3.5%)

Compiler: Compiled 1891 to 1624 computations (14.1% saved)

bsearch39.0ms (0.4%)

Steps

Iters	Range		Point
9	3575721.5253420603	32595137043775.008	89866444.08949669
10	-1.2505815244524027e+27	-1137843880.770242	-417680595896.5533

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes205.0ms (2%)

Compiler: Compiled 643 to 577 computations (10.3% saved)

bsearch38.0ms (0.4%)

Steps

Iters	Range		Point
9	3575721.5253420603	32595137043775.008	92900470.18977524
9	-1137843880.770242	-8711.181044275361	-117890363.43949382

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes189.0ms (1.8%)

Compiler: Compiled 580 to 529 computations (8.8% saved)

bsearch33.0ms (0.3%)

Steps

Iters	Range		Point
9	3575721.5253420603	32595137043775.008	263965039.3990486
7	-8.820131923099998e+28	-1.2505815244524027e+27	-1.280094041343982e+27

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes163.0ms (1.6%)

Compiler: Compiled 281 to 296 computations (-5.3% saved)

bsearch32.0ms (0.3%)

Steps

Iters	Range		Point
9	3575721.5253420603	32595137043775.008	3623128.183158912
9	-8711.181044275361	-0.001733572146805805	-3287.1766333942314

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes190.0ms (1.8%)

Compiler: Compiled 200 to 227 computations (-13.5% saved)

bsearch30.0ms (0.3%)

Steps

Iters	Range		Point
8	0.023951678011460076	61.15473945038281	1.0219894613418068
9	-8711.181044275361	-0.001733572146805805	-0.9910596696419218

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes161.0ms (1.5%)

Compiler: Compiled 144 to 171 computations (-18.8% saved)

bsearch30.0ms (0.3%)

Steps

Iters	Range		Point
8	0.023951678011460076	61.15473945038281	1.0219894613418068
9	-8711.181044275361	-0.001733572146805805	-0.9910596696419218

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes148.0ms (1.4%)

Compiler: Compiled 102 to 135 computations (-32.4% saved)

bsearch23.0ms (0.2%)

Steps

Iters	Range		Point
5	1.0702781758461255e-10	4.2435112898356884e-10	4.1713392357805543e-10
9	-8711.181044275361	-0.001733572146805805	-0.9910596696419218

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes54.0ms (0.5%)

Compiler: Compiled 12 to 30 computations (-150% saved)

bsearch25.0ms (0.2%)

Steps

Iters	Range		Point
5	1.0702781758461255e-10	4.2435112898356884e-10	4.1713392357805543e-10
9	-8711.181044275361	-0.001733572146805805	-0.9910596696419218

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.2%)

Accuracy

Total 0.1b remaining (37.9%)

Threshold costs 0.1b (37.9%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 229 to 170 computations (25.8% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	463	294
1	463	294

end0.0ms (0%)

sample1.4s (13.7%)

Algorithm

1×

intervals

Results

215.0ms	6313×	body	128	valid
75.0ms	581×	body	1024	valid
61.0ms	668×	body	512	valid
30.0ms	432×	body	256	valid
1.0ms	6×	body	2048	valid

Compiler

Compiled 877 to 729 computations (16.9% saved)

Pareto

0.8917328609041529

Details

analyze78.0ms (0.7%)

sample21.0ms (0.2%)

simplify273.0ms (2.6%)

prune7.0ms (0.1%)

localize7.0ms (0.1%)

rewrite32.0ms (0.3%)

series304.0ms (2.9%)

simplify69.0ms (0.7%)

prune171.0ms (1.6%)

localize15.0ms (0.1%)

rewrite53.0ms (0.5%)

series832.0ms (8%)

simplify91.0ms (0.9%)

prune207.0ms (2%)

localize5.0ms (0%)

rewrite12.0ms (0.1%)

series66.0ms (0.6%)

simplify83.0ms (0.8%)

prune41.0ms (0.4%)

localize15.0ms (0.1%)

rewrite76.0ms (0.7%)

series3.4s (32.8%)

simplify156.0ms (1.5%)

prune1.1s (10.9%)

simplify47.0ms (0.5%)

regimes369.0ms (3.5%)

bsearch39.0ms (0.4%)

regimes205.0ms (2%)

bsearch38.0ms (0.4%)

regimes189.0ms (1.8%)

bsearch33.0ms (0.3%)

regimes163.0ms (1.6%)

bsearch32.0ms (0.3%)

regimes190.0ms (1.8%)

bsearch30.0ms (0.3%)

regimes161.0ms (1.5%)

bsearch30.0ms (0.3%)

regimes148.0ms (1.4%)

bsearch23.0ms (0.2%)

regimes54.0ms (0.5%)

bsearch25.0ms (0.2%)

regimes18.0ms (0.2%)

bsearch10.0ms (0.1%)

simplify18.0ms (0.2%)

end0.0ms (0%)

sample1.4s (13.7%)

Profiling